Multiresonance modes in sine–Gordon brane models

Abstract

In this work, we study the localization of the vector gauge field in two fivedimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sineGordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, where is concluded that the dilaton parameter regulates these corrections.

Fermion and graviton in Dirac–Born–Infeld braneworld models

“…Now, with the help of the Eqs. (50) and (51), we can plot the effective potentials V L ,R (y) for different values of the parameter a as Fig. 7.…”

“…Now, with the warp factor A(y), we can use the Eqs. (50) and (51) to obtain the shapes of the effective potentials V L and V R . As a result, we plot these potentials for f (T ) = exp(T /T 0 ) as shown in Fig.…”

“…, it is not possible to analytically solve the Schrodinger-like equations for massive modes. So, like the approach of Refs [50][51][52],. we solve these equations numerically.…”

Exotic Elko on string-like defects in six dimensions

“…In fact, the mass hierarchy is solved without any requirement of fine tuning between the bulk cosmological constant and the brane tension [11], with correction O(d −3 ) to the Newtonian potential [11][12][13][14][15] that is smaller than within five-dimensional (5D) models [2]. Moreover, 6D models support the localisation of free gauge zero modes, even in the thin brane case [16][17][18], whereas a scalar coupling in the AdS 5 case is demanded [4]. In Lorentz violation scenarios, a massless four-dimensional (4D) graviton can be confined in 6D [19], but it is not possible in the thin 5D model [20].…”

“…With this proposition, one can solve the hierarchy problem and explain several issues in various branches of Physics [1][2][3][4][5][6][7][8][9][10]. Focusing on the recent publications, brane-worlds models were used to: perform bounds into corrections to Coulomb's law [3,4] and to set limits in the electrical conductivity [5], studied by the informational entropy [6][7][8], to respond to anomalies in the meson B decay [9], and to explain issues in the neutrinos physics [10], for instance. This paper focus on six-dimensional (6D) anti-de Sitter (AdS 6 ) brane-worlds, which have some interesting features.…”